λ
Integer Codex

1,673,509

1673509
Deficient Odd Prime

For 1,673,509, the 2 positive divisors have a total of 1,673,510. Removing 1,673,509 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1673509
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,673,510
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1673489 ← → #1673513

Radix Representation

Decimal 1673509
Binary 110011000100100100101 (21 bits)
Octal 0o6304445
Hexadecimal 0x198925

Divisor Catalog (2)

1 1,673,509

Collatz Trajectory (132 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,673,509 5,020,528 2,510,264 1,255,132 627,566 313,783 941,350 470,675 1,412,026 706,013 2,118,040 1,059,020 529,510 264,755 794,266 397,133 1,191,400 595,700 297,850 148,925 446,776 223,388 111,694 55,847 167,542 83,771 251,314 125,657 376,972 188,486 94,243 282,730 141,365 424,096 212,048 106,024 53,012 26,506 13,253 39,760 19,880 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780

More profiles

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